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Finding the Third Proportional to 455,426 and 973,909

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Solution

The third proportional to 455,426 and 973,909 is: 2,082,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,426 : 973,909 = 973,909 : x
  2. Step 2: Convert to fraction form
    455,426/973,909 = 973,909/x
  3. Step 3: Cross multiply
    455,426x = 973,909 × 973,909
  4. Step 4: Simplify right side
    455,426x = 948,498,740,281
  5. Step 5: Solve for x
    x = 948,498,740,281/455,426
  6. Step 6: Final answer
    x = 2,082,662.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.